Finding the Third Proportional to 27,428 and 40,962
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Solution
The third proportional to 27,428 and 40,962 is: 61,174.18
Step by Step Solution
- Step 1: Write the proportion equation
27,428 : 40,962 = 40,962 : x - Step 2: Convert to fraction form
27,428/40,962 = 40,962/x - Step 3: Cross multiply
27,428x = 40,962 × 40,962 - Step 4: Simplify right side
27,428x = 1,677,885,444 - Step 5: Solve for x
x = 1,677,885,444/27,428 - Step 6: Final answer
x = 61,174.18
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.